[1. Depending on where you are at on the plane it can take up 30 minutes before you are off of the plane and gotten to immigration checks.
30 minutes to get off a plane?!! 
2. Immigration line was aprox 30 minutes. The lines move quickly and there are a lot of them. I was told that it was NOT an unusually large number of flights arriving. So that was business as usual at LAX.
The line for immigrants, or K-1 visas, is NOT the same as the lines for all the tourists or PRs.3. Baggage claim took 40 minutes! There is a lot of luggage coming off international flights. Some people get lucky and get their luggage quickly. I did not and I was not among the last to get my luggage.
40 minutes to get your luggage?!! 
4. Customs inspections line took another 45 minutes. There were only two lines and they were checking everyone!
Once again... 45 minutes to get through customs, when all you have to do is hand them your form and answer a few questions?5. At LAX if you have a connecting flight you then take your checked baggage get in another line to put in on a conveyor that will route it to your connecting flight. Another 20 minutes.
That sounds right.6. Travel from the International terminal to the Domestic. 20 minutes.
On a bad day.7. Get in line for check in at your domestic flight. 25 minutes.
That sounds right too.8. Get in line for security inspection before entereing the gate area. Yes you left one terminal and entered another so you will go through security again! Another 20 minutes.
That sounds right, as you go through security to get to the boarding gate.so add it up genius! It took just shy of 4 hours! I just barely made my connecting flight and that was only because the domestic carrier moved me through their line ahead of others because of the time my flight was leaving. If I had not asked for assistance with one of their employees I caught walking through the terminal I would not have made my connecting flight. None of those times in themselves is unreasonable, but there is no way to get through any faster.
No way to get through any faster? You need to fly on different airlines or go through different airports. Oh by the way, thanks for noting that I'm a genius. I appreciate that.[/quote]
Now that we know the OPs fiancee will be going through Washington DC, the times will be completely different. We will need another genius to add up the times.
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30 mins was what it took for me to get off the plane after it landed.
It was the same line for me at the SFO Intl Airport for the tourist/ K1 visa. I asked and was directed there. Anyway, SFO is a busy airport and both lines were quite long and we did spend that much time there.
Can't remember how long it took for my luggage to arrive but I spend a bloody hour at the customs. It was not as simple as handing them the form and answering a few questions. I talked to 2 different custom officials and had to stand in line to get my luggage checked.
Anyway, by the time my then fiance saw me, he was frantic with worry (I abided by the rules and did not switch on my cell till I got out of the terminal).